Search a number
-
+
27068076 = 22327233461
BaseRepresentation
bin110011101000…
…0011010101100
31212221012102100
41213100122230
523412134301
62404055100
7446034450
oct147203254
955835370
1027068076
1114308712
129094490
1357b9619
143848660
15259a286
hex19d06ac

27068076 has 72 divisors (see below), whose sum is σ = 78702624. Its totient is φ = 7683840.

The previous prime is 27068071. The next prime is 27068081. The reversal of 27068076 is 67086072.

It is an interprime number because it is at equal distance from previous prime (27068071) and next prime (27068081).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27068076.

It is not an unprimeable number, because it can be changed into a prime (27068071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58486 + ... + 58946.

It is an arithmetic number, because the mean of its divisors is an integer number (1093092).

Almost surely, 227068076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27068076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39351312).

27068076 is an abundant number, since it is smaller than the sum of its proper divisors (51634548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27068076 is a wasteful number, since it uses less digits than its factorization.

27068076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 27068076 is about 5202.6989149863. The cubic root of 27068076 is about 300.2519217256.

The spelling of 27068076 in words is "twenty-seven million, sixty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 233 252 461 466 699 922 932 1383 1398 1631 1844 2097 2766 2796 3227 3262 4149 4194 4893 5532 6454 6524 8298 8388 9681 9786 12908 14679 16596 19362 19572 29043 29358 38724 58086 58716 107413 116172 214826 322239 429652 644478 751891 966717 1288956 1503782 1933434 2255673 3007564 3866868 4511346 6767019 9022692 13534038 27068076